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Question

The following table shows the number of newspapers printed as shown inside the brackets and the number of newspapers distributed in different cities on a particular date. Answer questions 1 to 5:

Newspaper → 

City ↓ 

Newspaper A

(2000)

Newspaper

B

(2000)

Newspaper

C

(1000)

Newspaper

D

(1000)

Delhi1000750320250
Lucknow500250250175
Varanasi200150165155
Jaipur200350135160

What is the ratio of distribution of Newspaper A to Newspaper B?

The correct answer is

19 : 15

Calculating Newspaper Distribution Ratio

The question asks for the ratio of the total number of Newspaper A distributed to the total number of Newspaper B distributed across all the mentioned cities. To find this ratio, we first need to sum up the distribution numbers for each newspaper in all cities.

Data Extraction for Distribution

Let's look at the distribution numbers for Newspaper A and Newspaper B from the provided table for each city:

City Newspaper A Distribution Newspaper B Distribution
Delhi 1000 750
Lucknow 500 250
Varanasi 200 150
Jaipur 200 350

Calculate Total Distribution

Now, we sum the distribution figures for each newspaper:

  • Total distribution of Newspaper A = Distribution in Delhi + Distribution in Lucknow + Distribution in Varanasi + Distribution in Jaipur
  • Total distribution of Newspaper A = $1000 + 500 + 200 + 200 = 1900$
  • Total distribution of Newspaper B = Distribution in Delhi + Distribution in Lucknow + Distribution in Varanasi + Distribution in Jaipur
  • Total distribution of Newspaper B = $750 + 250 + 150 + 350 = 1500$

Determine the Ratio of Newspaper A to Newspaper B Distribution

The ratio of the distribution of Newspaper A to Newspaper B is calculated as:

Ratio = (Total distribution of Newspaper A) : (Total distribution of Newspaper B)

Ratio = $1900 : 1500$

Simplify the Ratio

To simplify the ratio $1900 : 1500$, we find the greatest common divisor (GCD) of 1900 and 1500. Both numbers are divisible by 100.

Ratio = $\frac{1900}{100} : \frac{1500}{100}$

Ratio = $19 : 15$

So, the ratio of the distribution of Newspaper A to Newspaper B is $19 : 15$.

Revision Table: Newspaper Distribution Ratio Calculation

Metric Calculation Result
Total Newspaper A Distribution $1000 + 500 + 200 + 200$ 1900
Total Newspaper B Distribution $750 + 250 + 150 + 350$ 1500
Ratio (A : B) $1900 : 1500$ $19 : 15$

Additional Information: Understanding Ratios

A ratio is a way to compare two or more quantities. It shows how many times one value is contained in another. Ratios can be written in several ways, such as A to B, A:B, or A/B. Simplifying a ratio involves dividing all parts of the ratio by the same non-zero number until they are in their simplest form (usually when the parts are integers with no common factors other than 1).

In this problem, the ratio $19 : 15$ means that for every 19 copies of Newspaper A distributed, there were 15 copies of Newspaper B distributed across these cities collectively. Ratios are fundamental in data analysis and comparisons, often used in various fields like business, science, and everyday life.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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